AN ANALYTICAL ANALYSIS OF MARKOVIAN QUEUEING MODEL WITH AN ALTERNATING SERVER AND STATE-DEPENDENT ALTERNATING PRIORITY POLICY

초록

In the dynamic landscape of modern technological systems, efficient queuing models play a pivotal role, especially in sectors such as telecommunications and data management. This study introduces a novel alternating server model with a state-dependent alternating priority policy. Specifically, we consider a Markovian queueing model with two queues, where the priority of service is determined by the length of each queue. A threshold is assigned to one of the queues, granting it priority when its length exceeds the threshold, while the other queue holds priority otherwise. Moreover, we derive a set of balance equations and present the joint queue length distribution in the form of a probability generating function, significantly advancing our understanding of queuing system dynamics. Delving into practical applications, our model proves particularly relevant in data centers, communication systems, and logistics networks. By precisely calculating performance measures such as mean queue length and waiting time, our study provides actionable insights for system optimization, directly influencing operational efficiency and user experience. © 2024 ICIC International. All rights reserved.

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